A cone has a volume of 602.88 cubic centimeters and a radius of 6 centimeters. What is its height? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
15.98cm
Step-by-step explanation:
Given data
Volume= 602.88cm^3
Radius= 6cm
The formula for the volume of a cone is
V= 1/3 πr^2h
substitute
602.88= 1/3*3.142*6^2*h
602.88=1/3*3.142*36*h
602.88=37.704*h
h= 602.88/37.704
h= 15.98cm
Hence the height is 15.98cm
[x-2]/4=[3x-7]/10 its x-2 dived by 4 not 2/4 same with other side
Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{x-2}{4}[/tex] = [tex]\frac{3x-7}{10}[/tex] ( cross- multiply )
4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )
12x - 28 = 10x - 20 ( subtract 10x from both sides )
2x - 28 = - 20 ( add 28 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Which point on the graph represents the y-intercept?
Their 47 students need a seat on the school bus. If there are 21 student seats on a school bus. How many school buses will need to let each student have a seat?
Answer: 3 buses
Step-by-step explanation:
Answer:
Simply multiply 21 until you get a number greater than 47. In this case, 3, even though there is only a little remainder of 5 kids on one bus by themselves.
Step-by-step explanation:
find the slope of the line:
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
( Need help !!!!!!!!!! Pls )
Evaluate the expression for the given value.
2w+2l, when w=7, l=5
Answer:
2w+2l.
2(7)+2(5).
14+10.
24.
Help please full answer!!
The temperature change in a chemistry experiment was –2 C every 30 min. The initial temperature was 6 C. What was the temperature after 4 h?
Answer:
4 hours/30 min=12
-2*12=-24
6-24=-18
-18°C
Step-by-step explanation:
Please help me I really need it this is hard for me
Answer:
27.6 cm
Step-by-step explanation:
Answer: 44.6
Step-by-step explanation:
It’s not that hard use the formula of the volume of a sphere. And just replace the R with whatever your radius is, if you have a diameter just divide it by 2 to get the radius. Hope this helps
The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?
Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _
[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]
Hope this helps!
The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]
Equation of circle:The equation of circle is given as,
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
Where [tex](h,k)[/tex] is the coordinate of center and r is radius.
From the given figure,
It is observed that, the center of circular pool is (2, 4)
and radius is 5.
substitute the value of center and radius in above equation.
[tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]
The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]
Learn more about the equation of circle here:
https://brainly.com/question/1506955
1. The angle of depression from the top of the
school to the base of the flag pole in front of
the school is 50°. If the flag pole is 35 feet from
the base of the school, find the height of the
school.
Answer:
41.7feet
Step-by-step explanation:
From the question we are given the following
angle of depression = 50°
Distance of the pole from the base of the feet = 35feet (Adjacent)
Required
height of the school (opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 50 = H/35
H = 35tan 50
H = 35(1.1918)
H = 41.7feet
Hence the height of the school is 41.7feet
The figure below is a net for a triangular pyramid.
If all the triangles are equilateral, what is the surface area of
the pyramid, in square centimeters?
Answer:
339.36 cm^2
Step-by-step explanation:
14*12.12=169.68
169.68/2=84.84
84.84= the area of one triangle
(84.84)4=339.36
I'm pretty sure, but check my math if it's wrong
MARK BRAINLIESTTTTTT
Answer:
i think its c hope it helps
Step-by-step explanation:
Can some help me with this please and ty.
Answer:
4 centimetres per hour.
Step-by-step explanation:
Write an equation of the line perpendicular to the given line that contains P.
pls help and show work
Answer:
Step-by-step explanation:
3x^2 + 24x + 48 + 43 - 48
3(x^2 + 8x + 16) - 5
3(x + 4)^2 - 5
vertex at (-4,-5)
Answer:
vertex = (- 4, - 5 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 3x² + 24x + 43 ← factor out 3 from the first 2 terms
= 3(x² + 8x) + 43
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 8x
y = 3(x² + 2(4)x + 16 - 16) + 43
y = 3(x + 4)² - 48 + 43
y = 3(x + 4)² - 5 ← in vertex form
with vertex = (- 4, - 5 )
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
Student Council is selling T-shirts to raise money for new volleyball equipment. There is a fixed cost of
$200 for producing the T-shirts, plus a variable cost of $5 per T-shirt made. Council has decided to sell
the T-shirts for $8 each.
A. Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
B. Write an equation to represent the revenue, R, as a function of the number, n, of T-shirts
produced
C. Profit, P, is the difference between revenue (R(n)) and expenses (C(n)). Develop an algebraic
function to model the profit.
D. How many T-shirts does the Student Council have to sell to "break even," make a $0 profit?
Answer:
It is A
Write an equation to represent the total cost, C, as a function of the number, n, of T-shirts
produced.
Step-by-step explanation:
:)
What is the one shape of cross-section we could create by slicing the cylinder perpendicular to its base
Answer:
rectangle
Step-by-step explanation:
A rectangle represents a figure with four sides having equal opposite sides and the inside angle between the two adjacent sides is ninety degree.
When any plane is made to pass through the cylinder creating a cross section which is perpendicular to its base, it results a two-dimensional cross sectional shape of a rectangle.
Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years
Answer:
Step-by-step explanation:
Complete question
A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.
For Sebastian
Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]
Substituting the given values we get
A =
[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]
For Yolanda
Amount [tex]= P(1+rt)[/tex]
[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]
Yolanda's account will have about $28.67 less than Sebastian's account
Option C is correct
The perimeter of a piece of paper is 38 inches. Its length is 11 inches.
Find the area of the piece of paper.
Answer:
Buddy this might not be the correct answer but I got either 98 or 418 inches. Don't quote me on it though.
Step-by-step explanation:
Find the area of the figure
Answer:
145
Step-by-step explanation:
Answer:
19 + 13 = 32 x 10 = 320 divided by 2 = 160yd2
Formula of a trapezoid:
B1 (base 1) + B2 (base2) x Height x 1/2 (basically dividing by 2).
Base 1 was 19
Base 2 was 13
and 10 was your height
And then divide by 2. ( x 1/2)
(x – 6)2 = y + 7, find the vertex.
I dont know this someone please answer this and show work and FAST! My teacher will call on me soon
Answer:
I can' see this. Can you show it closer? Please!
Step-by-step explanation:
Answer:
ok maybe itll work with this???
Step-by-step explanation:
file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf
I hope it workksss
Evaluate the function at the given value.
h(x) = 1/3.6^x
what is h(2)?
Answer:
h(x)=6^x/3 is what I got hope I could help
Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl?
Answer:
47%
Step-by-step explanation:
There are 15 total students, so find the percentage of girls out of the total students: 7/15= .466, which is about 47%. To double check, you can do the boys and make sure it adds to 100%. 8/15= .533, which is about 53%. 47+53=100. So girls are 47% and boys are 53%
please help me with this one!!
Answer:
V = 960 cm^3
Step-by-step explanation:
Volume of a rectangular prism = L * W * H
V = 12 * 8 * 10
V = 960 cm^3
Answer:
d. 960 cm^3
Step-by-step explanation:
The formula for volume is length x width x height. To solve you have to multiply 12 by 8 by 10 to get 960
An adult pass is 3 times as much as a child's pass. What is the cost of the adults pass? Write an expression for the situation
Answer:
however much the Child's pass is x 3 = Adult Pass cost
Step-by-step explanation:
Find the surface area.
24 in.
40 in.
10 in.
26 in.
Answer:
24 IN.
Sorry for all caps
Step-by-step explanation:
